155915311416480 has 1152 divisors, whose sum is σ = 704442257326080. Its totient is φ = 30421165178880.

The previous prime is 155915311416421. The next prime is 155915311416481. The reversal of 155915311416480 is 84614113519551.

It is a happy number.

155915311416480 is a `hidden beast` number, since 1 + 5 + 5 + 9 + 1 + 531 + 1 + 41 + 64 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (155915311416481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 237731889 + ... + 238386831.

It is an arithmetic number, because the mean of its divisors is an integer number (611495015040).

Almost surely, 2^{155915311416480} is an apocalyptic number.

155915311416480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155915311416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352221128663040).

155915311416480 is an abundant number, since it is smaller than the sum of its proper divisors (548526945909600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155915311416480 is a wasteful number, since it uses less digits than its factorization.

155915311416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655114 (or 655103 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 155915311416480 in words is "one hundred fifty-five trillion, nine hundred fifteen billion, three hundred eleven million, four hundred sixteen thousand, four hundred eighty".